期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.3895
出版社：Hindawi Publishing Corporation
摘要：We introduce nonwandering operators in infinite-dimensional separable
Banach space. They are new linear chaotic operators and are relative to hypercylic
operators, but different from them. Firstly, we show some examples for nonwandering
operators in some typical infinite-dimensional Banach spaces, including Banach
sequence space and physical background space. Then we present some
properties of nonwandering operators and the spectra decomposition
of invertible nonwandering operators. Finally, we obtain that
invertible nonwandering operators are locally structurally stable.
